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Finding the Third Proportional to 3,489,738 and 7,668,343

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Solution

The third proportional to 3,489,738 and 7,668,343 is: 16,850,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,738 : 7,668,343 = 7,668,343 : x
  2. Step 2: Convert to fraction form
    3,489,738/7,668,343 = 7,668,343/x
  3. Step 3: Cross multiply
    3,489,738x = 7,668,343 × 7,668,343
  4. Step 4: Simplify right side
    3,489,738x = 58,803,484,365,649
  5. Step 5: Solve for x
    x = 58,803,484,365,649/3,489,738
  6. Step 6: Final answer
    x = 16,850,400.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.